Salt-body Inversion with Minimum Gradient Support and Sobolev Space Norm Regularizations
Type
Conference PaperKAUST Department
Earth Science and Engineering ProgramPhysical Science and Engineering (PSE) Division
Seismic Wave Analysis Group
Date
2017-05-26Online Publication Date
2017-05-26Print Publication Date
2017-06-12Permanent link to this record
http://hdl.handle.net/10754/624912
Metadata
Show full item recordAbstract
Full-waveform inversion (FWI) is a technique which solves the ill-posed seismic inversion problem of fitting our model data to the measured ones from the field. FWI is capable of providing high-resolution estimates of the model, and of handling wave propagation of arbitrary complexity (visco-elastic, anisotropic); yet, it often fails to retrieve high-contrast geological structures, such as salt. One of the reasons for the FWI failure is that the updates at earlier iterations are too smooth to capture the sharp edges of the salt boundary. We compare several regularization approaches, which promote sharpness of the edges. Minimum gradient support (MGS) regularization focuses the inversion on blocky models, even more than the total variation (TV) does. However, both approaches try to invert undesirable high wavenumbers in the model too early for a model of complex structure. Therefore, we apply the Sobolev space norm as a regularizing term in order to maintain a balance between sharp and smooth updates in FWI. We demonstrate the application of these regularizations on a Marmousi model, enriched by a chunk of salt. The model turns out to be too complex in some parts to retrieve its full velocity distribution, yet the salt shape and contrast are retrieved.Citation
Kazei VV, Kalita M, Alkhalifah T (2017) Salt-body Inversion with Minimum Gradient Support and Sobolev Space Norm Regularizations. 79th EAGE Conference and Exhibition 2017. Available: http://dx.doi.org/10.3997/2214-4609.201700600.Sponsors
We thank KAUST for support and Seismic Wave Analysis Group for fruitful discussions.Publisher
EAGE Publicationsae974a485f413a2113503eed53cd6c53
10.3997/2214-4609.201700600